# Syllabus for Intermediate Algebra

**Course Objectives:
**

Upon successful completion of this course, the student will be able to do the following:

1. Distinguish between the sets of natural, whole, integer, rational, real and complex numbers;

2. Solve quadratic, rational, absolute value and radical equations ;

3. Solve quadratic and rational applications;

4. Solve quadratic inequalities and absolute value inequalities of the form |ax + b| > n,

|ax + b| < n, |ax + b| ≤ n and |ax + b| ≥ n, where n can be positive , negative or zero;

5. Factor polynomials of the form u

^{3}+ v

^{3}and u

^{3}– v

^{3}where u = ax + b and v = cx + d;

6. Graph quadratic and square root functions ;

7. Simplify expressions containing integer and rational exponents and radical expressions;

8. Simplify complex fractions;

9. Evaluate function notation and utilize the Vertical Line Test ;

10. Determine the domain and range of a function given its graph;

11. Solve a system of three equations in three variables;

12. Write the square root of a negative radicand utilizing a factor of i;

13. Compare equations of conic sections and construct their graphs;

14. Graph exponential and logarithmic functions ;

15. Formulate the logarithmic equivalent of an exponential function.

**Dates and Certification Assignments that will be collected
**

All assignment will have an established due date. However, you will have the option to complete assignments early.

Nevertheless, if you wait until the day they are due, the assignment must be completed before 11:59 pm on that day.

All assignments completed after the due date will receive half credit.

**Week 1: All assignments due by Tuesday, August 25**

Chapter 1 Section 3b: Solving Linear Equations

Chapter 1 Section 1a: Name that Real Number

Chapter 1 Section 1b: Properties of Real Numbers

Chapter 1 Section 6a: Solving Linear Inequalities

**Week 2: All assignments due by Tuesday, September 1**

Chapter 1 Section 4a: Solving Formulas

Chapter 1 Section 5: Applications

Chapter 1 Section 3c: Solving Absolute Value Equations

Chapter 1 Section 6b: Solving Absolute Value Inequalities

Chapter 1 Section 7: Simplifying Integer Exponents I

**Week 3: All assignments due by Thursday, September 10**

Chapter 1 Section 8a: Simplifying Integer Exponents II

Chapter 1 Section 8b: Scientific Notation

Chapter 2 Section 1b: Graphing Linear Equations by Plotting Points

Chapter 2 Section 2: Graphing Linear Equations in Slope- Intercept Form

Chapter 2 Section 3b: Finding the Equation of a Line

**Week 4: Test 1 is on Friday, September 11**

Week 5: All assignments due by Tuesday, September 22

Chapter 2 Section 4: Introduction to Functions

Week 5: All assignments due by Tuesday, September 22

Chapter 3 Section 1b: Solving Systems of Linear Equations by Substitution

Chapter 3 Section 1c: Solving Systems of Linear Equations by Addition

Chapter 3 Section 2: Applications (Systems of Equations)

**Week 6: All assignments due by Tuesday, September 29**

Web Test – DRT: Uniform motion problems

Chapter 3 Section 3: Solving Systems of Linear Equations w/ 3 Variables

Chapter 4 Section 1b: Adding and Subtracting Polynomials

Chapter 4 Section 2a: Multiplying Polynomials

**Week 7: All assignments due by Tuesday, October 6**

Chapter 4 Section 3b: The Division Algorithm

Chapter 4 Section 4a: GCF of a Polynomial

Chapter 4 Section 4b: Special Factorizations - Squares

Chapter 4 Section 4d: Factoring Trinomials by Trial and Error

Chapter 4 Section 5a: Special Factorizations - Cubes

Chapter 4 Section 5b: Factoring by Grouping and with Negative Exponents

Week 8: Test 2 is on Wednesday, October 7

Week 8: Test 2 is on Wednesday, October 7

**Week 9: All assignments due by Tuesday, October 20**

Chapter 4 Section 6: Solving Equations by Factoring

Chapter 5 Section 1a: Defining Rational Expressions

Chapter 5 Section 1b: Multiplication and Division of Rational Expressions

Chapter 5 Section 2: Addition and Subtraction of Rational Expressions

Chapter 5 Section 3: Complex Fractions

**Week 10: All assignments due by Tuesday, October 27
**Chapter 5 Section 4a: Solving Equations Involving Rational Expressions

Chapter 5 Section 5: Applications Involving Rational Expressions

**Week 11: All assignments due by Tuesday, November 3**

Chapter 6 Section 1b: Simplifying Radicals

Chapter 6 Section 1c: Division of Radicals

Chapter 6 Section 2: Rational Exponents

Chapter 6 Section 3a: Addition and Subtraction of Radicals

Chapter 6 Section 3b: Multiplication of Radicals

**Week 12: Test 3 is on Wednesday, November 4**

Week 13: All assignments due by Tuesday, November 17

Week 13: All assignments due by Tuesday, November 17

Chapter 6 Section 5: Complex Numbers

Chapter 7 Section 1a: Quadratic Equations: The Square Root Method

Chapter 7 Section 1b: Quadratic Equations: Completing the Square

Chapter 7 Section 2: Quadratic Equations: The Quadratic Formula

**Week 14: All assignments due by Tuesday, November 24**

Chapter 7 Section 3: Applications

Chapter 7 Section 4: Solving Radical Equations

Chapter 8 Section 2: Solving Quadratic Inequalities

**Week 15: All assignments due by Tuesday, December 1**

Chapter 8 Section 1: Graphing Parabolas

Chapter 8 Section 4: Parabolas as Conic Sections

Chapter 8 section 5: Distance Formula, Midpoint Formula, and Circles

Chapter 8 section 6: Ellipses and Hyperbolas

**Week 16: Test 4 is on Wednesday, Dec 2**

Week 17: All assignments due by Tuesday, December 15

Week 17: All assignments due by Tuesday, December 15

Chapter 8 section 3: Function Notation and Translations

Chapter 9 section 3: Exponential Functions and the Number e

Chapter 9 section 4: Logarithmic Functions

**Week 18: Final Exam**

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